Classical Recursion Theory

This is the second volume to result from a 1997 conference held at the Woudschoten Conference Center in Zeist, Netherlands. It contains major revisions of several papers from the conference plus a fe

When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with iss

Graduate-level text for science and technology students provides strong background in the more abstract and intellectually satisfying areas of dynamical theory. Topics include d'Alembert's principle a

aeo A comprehensive introduction to some of the main debates preoccupying the social sciences and politics today. aeo Offers a challenging critique of major traditions of social and political analysi

These studies by Wael Hallaq represent an important contribution to our understanding of the neglected field of medieval Islamic law and legal thought. Spanning the period from the 8th to the 16th cen

This book is built upon a series of critical encounters with major figures in classical and present-day social and political thought. The volume offers not only a challenging critique of major traditi

A series of critical engagements with major figures in classical and present-day social and political thought that offers not only a challenging critique of major traditions of social and political a

Geared toward advanced undergraduates and graduate students, this text covers applications not usually taught in physics courses: the theory of space-charge limited currents, atmospheric drag, the mo

'The work is an interesting and unusual collection of writings on a subject about which little has been written.' |s RELIGIOUS STUDIES REVIEW

An accessible guide to the world’s most popular and celebrated works of classical music, and the composers who created them.Who wrote the first true “opera”? Where did the system of musical notation come from? How do composers construct symphonies?The Classical Music Book answers these questions and more by exploring the history of classical music in clear and easy-to-follow sections. More than 90 works by famous composers are analyzed, with explanations of their music theory and impact on society. You will also explore the fascinating stories about the lives of crucial composers and performers.Covering Thomas Tallis in the early period, baroque masters like Bach and Handel, and the classical genius of Beethoven and Wagner all the way to the modern-day composers, this comprehensive book explores the key ideas underpinning the world’s greatest classical compositions and musical traditions. The importance of each composition is explained, placing them into their wider social, cultural, a

A comprehensive and accessible guide to classical music and music theory, including styles, form, instruments, and more than 280 composer profiles.What makes Mozart’s music so great? Why does a minor

Written in easily accessible language, the book provides a modern perspective of classical mechanics. Mathematical rigour is intertwined with lucid narration that will generate confidence in students to assimilate and apply fundamental principles of physics. The commonalities and differences of Newton's, Lagrange's and Hamilton's equations are explained in detail. Free, damped, driven oscillators and resonances are analysed systematically. The text extensively covers concepts of fluid mechanics, special theory of relativity, general theory of relativity and Lorentz transformations. The theories of gravitational field, fractals and chaos, Maxwell's laws of electrodynamics, and Einstein's theory of relativity are expanded from the first principle. The text is supported by practice problem sets to help students check their understanding of the concepts.

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spa

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arn

This new addition to the Longman Critical Readers Series provides an overview of the various ways in which modern critical theory has influenced Chaucer Studies over the last fifteen years. There is s

CrimComics offers a new way to approach criminological theory by engaging students with impactful, highly visual illustrated texts. Each CrimComics Issue traces the development of the theory--placing

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to descr

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to descr

Covering essential areas of thermal physics, this book includes kinetic theory, classical thermodynamics, and quantum thermodynamics. The text begins by explaining fundamental concepts of the kinetic theory of gases, viscosity, conductivity, diffusion, and the laws of thermodynamics and their applications. It then goes on to discuss applications of thermodynamics to problems of physics and engineering. These applications are explained with the help of P-V and P-S-H diagrams where necessary and are followed by a large number of solved examples and unsolved exercises. The book includes a dedicated chapter on the applications of thermodynamics to chemical reactions. Each application is explained by taking the example of an appropriate chemical reaction, where all technical terms are explained and complete mathematical derivations are worked out in steps starting from the first principle.

This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity

"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathemati

Nobody doubts that music has a special, somewhat mysterious power. Less clear is how we can evaluate that power. What makes music good or bad? Are there objective criteria for such a distinction? What

This book presents an in-depth, novel, and mathematically rigorous treatment of the modern classical theory of structure and dynamics of prices and income distribution. That treatment is based on the

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.

Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many settings they are in some sense universal. This universality is predicted by probability theory to a remarkable degree. This book explains that theory and investigates its ramifications. Assuming a good working knowledge of basic analysis, real and complex, the author maps out a route from basic probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium and nonequilibrium statistical mechanics, communication over a noisy channel, and random matrices. Numerous examples and exercises enrich the text.

Probability theory has been extraordinarily successful at describing a variety of phenomena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many settings they are in some sense universal. This universality is predicted by probability theory to a remarkable degree. This book explains that theory and investigates its ramifications. Assuming a good working knowledge of basic analysis, real and complex, the author maps out a route from basic probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium and nonequilibrium statistical mechanics, communication over a noisy channel, and random matrices. Numerous examples and exercises enrich the text.

This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory underg

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM th

The Orient was central to the work of Marx and Weber, both figures building their theories around the question of why modernity appeared to emerge only in the West. While Marxa€?s account focused on t

Continuing its tradition of providing students with a thorough review of ancient Greek and Roman rhetorical theory and practices, A Synoptic History of Classical Rhetoric is the premier text for under

Continuing its tradition of providing students with a thorough review of ancient Greek and Roman rhetorical theory and practices, A Synoptic History of Classical Rhetoric is the premier text for under